Project number		Stand-alone Projects  P20835
Title		Set Theory: the hyperuniverse, Ramsey theory
Principal investigator		FRIEDMAN Sy David
Approval date		23.06.2008
University / Research institution		Kurt Gödel Center for Mathematical Logic, Universität Wien
Scientific field(s)
Keywords		consistency, Gamma-logic, large cardinals, Ramsey theory
Homepage		http://www.logic.univie.ac.at/~sdf/

Mathematical logic entered the modern era through the work of Kurt Gödel, who established his famous Completeness and Incompleteness Theorems at the University of Vienna in the
1930's. This project, to be carried out at the Kurt Gödel Research Center for Mathematical Logic of the University of Vienna, focuses on set theory, the area of logic that most interested Gödel in his later years.

The proposed topics are:
1. Quasi lower bounds on consistency,
2. Gamma-logic,
3. Cardinality, cofinality and continuum spectra and
4. Ramsey theory.